Some questions on Derivatives

[MHENK]

You all seem like smart people with some time on your hands, so heres a few questions for you.

1) f(x)=2e^x+pi
2) h(x)=2^x+x^2+2
3) t(x)=(ln 5)^x
4) q(x)=3*log (base 2) x

What is the derivative AND the antiderivative of the above functions.

Any Help you could give me would be great.

Also, to all you programmers, Is the a program I could download that will help me find the derivative and the Anti-derivative of a function. If so, where can I get it. Thanks Alot.

-MHENK

[kedaman]

Do you have some sort of formulabook? In case not, you should get one, here's the equations you need to solve the equations:

De^x=e^x
Dkf=kDf
Dk=0
D-1k=kx+C
Dx^n=nx^(n-1)
D-1x^n=x^(n+1)/(n+1)+C
Da^x=a^xlna
D-a^x=a^x/lna+C

that's how much help i will give if you want to learn some for youself you just apply them and get used to do so.

There should be a site somewhere to do calculus but I don't recommend you go there other than to check if you have correct results, because calculus is very usefull to know.

[fbokker]

here's where you can calculate your integrals (=anti-derrivatives?, never heard that expression)

http://integrals.wolfram.com

any good math program will do the job also, e.g. mathematica. but that is not for free!

derrivatives are usually much easier to calculate than integrals, so you should be able to solve almost all of them with a good math book.
here you'll find a collection of rules and formulas for derrivation:

http://www.efunda.com/math/derivatives/derivatives.cfm